Effective Polyakov Loop Dynamics for Finite Temperature G(2) Gluodynamics

Details Effective Polyakov Loop Dynamics for Finite Temperature G(2) Gluodynamics Effective Polyakov Loop Dynamics for Finite Temperature G(2) Gluodynamics

2009-07-09

arxiv.org/abs/0907.1450v2

Phys.Rev.D80:065028,2009

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 14 figures

Scientific paper

10.1103/PhysRevD.80.065028

Based on the strong coupling expansion we obtain effective 3-dimensional models for the Polyakov loop in finite-temperature G_2 gluodynamics. The Svetitsky-Jaffe conjecture relates the resulting continuous spin models with G_2 gluodynamics near phase transition points. In the present work we analyse the effective theory in leading order with the help of a generalised mean field approximation and with detailed Monte-Carlo simulations. In addition we derive a Potts-type discrete spin model by restricting the characters of the Polyakov loops to the three extremal points of the fundamental domain of G_2. Both the continuous and discrete effective models show a rich phase structure with a ferromagnetic, symmetric and several anti-ferromagnetic phases. The phase diagram contains first and second order transition lines and tricritical points. The modified mean field predictions compare very well with the results of our simulations.

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